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### Number and algebra

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# Intriguing Interactivities

### Two-digit Targets

### Colouring Triangles

### 4 Dom

### Three Squares

### Times Tables Shifts Live

### Transformations on a Pegboard

### Triangles All Around

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Throughout history, mathematicians have used tools and technology to help them to spot patterns, develop conjectures, and make generalisations. We hope your learners' curiosity will be tickled by the interactivities in these tasks, and that by exploring with a computer or tablet, they will gain mathematical insights that they otherwise might not have perceived.

In this short article, Alison and Liz explore how pupils' curiosity can be stimulated by digital environments.

Age 5 to 7

Challenge Level

You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

Age 5 to 7

Challenge Level

Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

Age 5 to 11

Challenge Level

Use these four dominoes to make a square that has the same number of dots on each side.

Age 5 to 11

Challenge Level

What is the greatest number of squares you can make by overlapping three squares?

Age 7 to 11

Challenge Level

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

Age 7 to 11

Challenge Level

How would you move the bands on the pegboard to alter these shapes?

Age 7 to 11

Challenge Level

Can you find all the different triangles on these peg boards, and find their angles?